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Finding the Fourth Proportional to 7,568.47, 11,352.71 and 2,374.75

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Solution

The fourth proportional to 7,568.47, 11,352.71 and 2,374.75 is: 3,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.47 : 11,352.71 = 2,374.75 : x
  2. Step 2: Convert to fraction form
    7,568.47/11,352.71 = 2,374.75/x
  3. Step 3: Cross multiply
    7,568.47x = 11,352.71 × 2,374.75
  4. Step 4: Simplify right side
    7,568.47x = 26,959,848.07
  5. Step 5: Solve for x
    x = 26,959,848.07/7,568.47
  6. Step 6: Final answer
    x = 3,562.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.